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Chen, Ke (ed.) et al., Handbook of mathematical models and algorithms in computer vision and imaging. Mathematical imaging and vision. Springer Reference. Cham: Springer. 97-138 (2023).

MSC: 94A08 68U10

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Bonettini, Silvia; Franchini, Giorgia; Pezzi, Danilo; Prato, Marco

Explainable bilevel optimization: an application to the Helsinki Deblur Challenge. (English) Zbl 1515.94013

Inverse Probl. Imaging 17, No. 5, 925-950 (2023).

MSC: 94A08 65K05 68T05 90C30

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Bonettini, Silvia; Ochs, Peter; Prato, Marco; Rebegoldi, Simone

An abstract convergence framework with application to inertial inexact forward-backward methods. (English) Zbl 1516.90095

Comput. Optim. Appl. 84, No. 2, 319-362 (2023).

MSC: 90C30 65K05

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Bonettini, S.; Prato, M.; Rebegoldi, S.

A nested primal-dual FISTA-like scheme for composite convex optimization problems. (English) Zbl 1510.90204

Comput. Optim. Appl. 84, No. 1, 85-123 (2023).

MSC: 90C25

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Xu, Yumiao; Dong, Rongen; Hu, Qingjie

An inexact gradient mirror descent algorithm for non-smooth convex optimization. (Chinese. English summary) Zbl 07801032

Acta Math. Appl. Sin. 45, No. 4, 560-577 (2022).

MSC: 90C25 49J52

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Rebegoldi, Simone; Calatroni, Luca

Scaled, inexact, and adaptive generalized FISTA for strongly convex optimization. (English) Zbl 1506.65078

SIAM J. Optim. 32, No. 3, 2428-2459 (2022).

MSC: 65K05 90C25 90C30

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Wang, Ting; Liu, Hongwei

Convergence results of a new monotone inertial forward-backward splitting algorithm under the local Hölder error bound condition. (English) Zbl 1490.90223

Appl. Math. Optim. 85, No. 2, Paper No. 7, 41 p. (2022).

MSC: 90C25 65K10 94A12 94A08 68U10

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Lazzaretti, Marta; Rebegoldi, Simone; Calatroni, Luca; Estatico, Claudio

A scaled and adaptive FISTA algorithm for signal-dependent sparse image super-resolution problems. (English) Zbl 1498.65093

Elmoataz, Abderrahim (ed.) et al., Scale space and variational methods in computer vision. 8th international conference, SSVM 2021, virtual event, May 16–20, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12679, 242-253 (2021).

MSC: 65K05 65D18 90C25 94A08 94A12 68U10

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Bonettini, S.; Prato, M.; Rebegoldi, S.

New convergence results for the inexact variable metric forward-backward method. (English) Zbl 1474.65161

Appl. Math. Comput. 392, Article ID 125719, 21 p. (2021).

MSC: 65K05 90C06 90C90

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Bonettini, Silvia; Porta, Federica; Ruggiero, Valeria; Zanni, Luca

Variable metric techniques for forward-backward methods in imaging. (English) Zbl 1471.65048

J. Comput. Appl. Math. 385, Article ID 113192, 30 p. (2021).

MSC: 65K05 90C06 90C90 65D18

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Bonettini, S.; Prato, M.; Rebegoldi, S.

Convergence of inexact forward-backward algorithms using the forward-backward envelope. (English) Zbl 1452.65105

SIAM J. Optim. 30, No. 4, 3069-3097 (2020).

MSC: 65K05 90C26 90C30 94A08

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Found 14 Documents (Results 1–14)

Parameter-free FISTA by adaptive restart and backtracking. (English) Zbl 07930274

Stochastic primal-dual hybrid gradient algorithm with adaptive step sizes. (English) Zbl 07904658

A new proximal heavy ball inexact line-search algorithm. (English) Zbl 07850973

Bregman methods for large-scale optimization with applications in imaging. (English) Zbl 07914336

Explainable bilevel optimization: an application to the Helsinki Deblur Challenge. (English) Zbl 1515.94013

An abstract convergence framework with application to inertial inexact forward-backward methods. (English) Zbl 1516.90095

A nested primal-dual FISTA-like scheme for composite convex optimization problems. (English) Zbl 1510.90204

An inexact gradient mirror descent algorithm for non-smooth convex optimization. (Chinese. English summary) Zbl 07801032

Scaled, inexact, and adaptive generalized FISTA for strongly convex optimization. (English) Zbl 1506.65078

Convergence results of a new monotone inertial forward-backward splitting algorithm under the local Hölder error bound condition. (English) Zbl 1490.90223

A scaled and adaptive FISTA algorithm for signal-dependent sparse image super-resolution problems. (English) Zbl 1498.65093

New convergence results for the inexact variable metric forward-backward method. (English) Zbl 1474.65161

Variable metric techniques for forward-backward methods in imaging. (English) Zbl 1471.65048

Convergence of inexact forward-backward algorithms using the forward-backward envelope. (English) Zbl 1452.65105

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